SOME EXPANDING SEMI-DIRECT SUMS OF LIE ALGEBRA (G)over-bar AND ITS APPLICATION

摘要

Based on the fundamental special Lie algebra (G) over bar, some semi-direct sums are presented. Than, a new semi-direct sum Lie algebra (G) over bar (1) is constructed. The method presented in this paper can be used to obtain other higher-dimensional Lie algebra. Making use of the above Lie algebra, three integrable couplings of the new Bargmann type lattice hierarchy are obtained.